Incompressible quantum Hall states in Josephson-junction arrays

A. A. Odintsov; Yu. V. Nazarov

doi:10.1103/PhysRevB.51.1133

← Back to search

Incompressible quantum Hall states in Josephson-junction arrays

A. A. Odintsov, Yu. V. Nazarov

DOI 10.1103/PhysRevB.51.1133 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

We have shown that the charges in two-dimensional arrays of small Josephson junctions form Laughlin incompressible states in a magnetic field, so that the charge density is fixed in finite intervals of external parameters. Thus the system resembles a two-dimensional electron gas in the quantum Hall regime. In contrast to the latter one, the system is shown to be equivalent to a Bose gas with a weak contact repulsive interaction. We present numerical results for the main plateau in the charge density and also a toy model that enables us to develop the picture of all plateaus.